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Finding the Third Proportional to 242,769 and 530,007

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Solution

The third proportional to 242,769 and 530,007 is: 1,157,097.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,769 : 530,007 = 530,007 : x
  2. Step 2: Convert to fraction form
    242,769/530,007 = 530,007/x
  3. Step 3: Cross multiply
    242,769x = 530,007 × 530,007
  4. Step 4: Simplify right side
    242,769x = 280,907,420,049
  5. Step 5: Solve for x
    x = 280,907,420,049/242,769
  6. Step 6: Final answer
    x = 1,157,097.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.